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Finding the Fourth Proportional to 142,666.50, 213,853.94 and 92,846.64

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Solution

The fourth proportional to 142,666.50, 213,853.94 and 92,846.64 is: 139,175.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,666.50 : 213,853.94 = 92,846.64 : x
  2. Step 2: Convert to fraction form
    142,666.50/213,853.94 = 92,846.64/x
  3. Step 3: Cross multiply
    142,666.50x = 213,853.94 × 92,846.64
  4. Step 4: Simplify right side
    142,666.50x = 19,855,619,779.76
  5. Step 5: Solve for x
    x = 19,855,619,779.76/142,666.50
  6. Step 6: Final answer
    x = 139,175.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.